Maybe the 2 secondaries are connected out of phase, such that the "bottom" of one secondary is connected to the bottom of the other (instead of bottom of one to top of other). In this case, the AC voltages would cancel instead of add.
Depending on how it was originally used, maybe they didn't need a "center tap" arrangement.
(I can clearly see the twist of the two windings)
Are the twisted common long enough that you could un-twist?
I would not prefer to untwist it since one possibility would be to rewind the primary in order to accept 230V instead of 110.
Thank you for your answer.
Both secondary must control two motor (one is the rotor on the mast, the other is the motor inside the controller that turns the dial accordingly to the turn of the main pot.
Both must turn clockwise and counterclockwise, depending what you want,
I was thinking that way:
I plugged an oscilloscope with one channel on each red terminal winding and ground to black.
I noticed the two signals are exactly in phase each other. Is this an artifact due to the trigger or can I rely on this saying following: if the two secondary are wound both for example clockwise in parallel, one wire next to each other, around the core, would it be possible that measuring red-red the current turns first clockwise and then after it passes the black tap it does the same path counterclockwise cancelling their magnetic flux respectively so that the net resulting voltage is zero due to Lenz law (-V) +(+V) =0V?
Thank You all.